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Simplifying 3c + -19 = -2(c + 2) Reorder the terms: -19 + 3c = -2(c + 2) Reorder the terms: -19 + 3c = -2(2 + c) -19 + 3c = (2 * -2 + c * -2) -19 + 3c = (-4 + -2c) Solving -19 + 3c = -4 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. -19 + 3c + 2c = -4 + -2c + 2c Combine like terms: 3c + 2c = 5c -19 + 5c = -4 + -2c + 2c Combine like terms: -2c + 2c = 0 -19 + 5c = -4 + 0 -19 + 5c = -4 Add '19' to each side of the equation. -19 + 19 + 5c = -4 + 19 Combine like terms: -19 + 19 = 0 0 + 5c = -4 + 19 5c = -4 + 19 Combine like terms: -4 + 19 = 15 5c = 15 Divide each side by '5'. c = 3 Simplifying c = 3
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